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Finding the Fourth Proportional to 56,311.68, 77,712 and 33,649.92

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Solution

The fourth proportional to 56,311.68, 77,712 and 33,649.92 is: 46,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.68 : 77,712 = 33,649.92 : x
  2. Step 2: Convert to fraction form
    56,311.68/77,712 = 33,649.92/x
  3. Step 3: Cross multiply
    56,311.68x = 77,712 × 33,649.92
  4. Step 4: Simplify right side
    56,311.68x = 2,615,002,583.04
  5. Step 5: Solve for x
    x = 2,615,002,583.04/56,311.68
  6. Step 6: Final answer
    x = 46,438.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.